同余的

When form ring satisfies certain Λ-stable range condition, we use the results in [2]to prove the normality of a unitary congruence subgroup EU andan important commutator equation of unitary congruence subgroups.

在型环满足适当的Λ-稳定秩条件时，利用[2]中的结果证明了酉群的同余子群EU的正规性，建立了酉群的同余子群之间的一个换位子公式。

This course, which discusses elementary of computational number theory, includes the following subjects:(1) Fundamental properties of Integers;(2) Congruences;(3) Congruent equations;(4) Legendre and Jacobi symbols;(5) Primitive roots;(6) Primality testing and factorization;(7) Index computation and discrete logarithm computation;(8) Other computational problems.

本课程将讨论计算数论的基本知识，主要包括以下内容：(1)整数基本性质；(2)同余；(3)同余式；(4) Legendre和Jacobi符号；(5)原根；(6)素性测试和大数分解；(7)指数计算和离散对数计算；(8)其他计算问题。

The Chinese Remainder Theorem is one of the greatest achievements in the Chinese traditional mathematics,which is on the theory of congruence of first degree. It's from the problem of the "Wu Buzhishu" in the Chinese classical mathematical work Sunzisuanjing.

"中国剩余定理"是中国传统数学中关于一次同余式理论的一项杰出成就，它源于中国数学典籍《孙子算经》中的"物不知数"问题，秦九韶在《数书九章》(1247)中将这一问题发展为求解一次同余式组的一般方法，称为"大衍总数术"。

Therefore, joins of good congruence on a regular semigroup is a good one.

众所周知，正则半群上的同余都是好同余。

This paper gives the definition of the trivial solution to the high degree congruence x^ n = a, presents one sufficient and necessary condition for the congruence to have solutions, derives and proves one new judgment condition complementarily.

这篇文章给出了高阶同余方程 x^ n = a平凡解的定义，介绍了高阶同余方程有解的一个充要条件，补充推导和证明了另一个充要条件。

Till now, there are a lot of generators such as the classical Fibonacci method, mid-square method, linear congruential method, feedback shift register method and combined method; the recent nonlinear congruential method, decimal fraction method, add-with-carry and substract-with-borrow methods, generalized feedback shift register method and MT method, and so on.

至今关于随机数发生器有很多的理论和方法，其中除了传统的Fibonacci法、平方取中法、线性同余法、位移寄存器法和组合方法；最近还有非线性同余法、取小数法、进位加和错位减法、广义反馈位移寄存器法和MT法等等。

As a result, when in , subset of MA, obtained by imposing constraints on MA, AL is intensional because =L is equivalent with ≡.

在考虑了复制操作和限制操作的情况下，提出了逻辑等价的协归纳操作描述，并利用协归纳关系与进程结构同余关系进行比较，证明了若对MA加上约束条件得到子集MAsynIF，此时逻辑等价与结构同余关系是等价的，即AL在MAsynIF中是内涵的。

The concept of congruence is an important content of the universal algebra and congruences play a fundamental role in defining the structure and properties of the universal algebra.

同余是泛代数的重要研究内容，泛代数上的同余在一定意义上能够刻画和确定泛代数的结构和性质。

The author establishes a criterion on which the existence of solutions can be judged for the higher order congruences of prime modulus .

给出了素数模高次同余式有解的1个判定准则，在有解时直接得出解的个数，并通过解1个次数最低的同余式得到其所有解，最大限度地减少代入检验求解的计算

Special congruences are introduced in partialAbelian semigroups and it is shown that under some condition the quotient in-duced by a special congruence is also a partial Abelian semigroup.

我们引入了其上的特殊同余，在一定条件下，证明了该同余类所诱导之商仍是部分Abelian半群。

It seems likely that Kraft will return with a better offer.

看起来卡夫要重新考虑一个更好的出价了。

But he'd rather burn off my feelers and watch me squirm.

可他却放任那个家伙对我为所欲为！